Theoretical & Experimental Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event happening based on all possible outcomes, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

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What is experimental probability?

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Experimental probability is the likelihood of an event happening based on actual experiments or trials, calculated as the number of times the event occurs divided by the total number of trials.

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How do you calculate the probability of an event?

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Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes).

Tags

CCSS.7.SP.C.7A

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If a coin is flipped, what is the theoretical probability of getting heads?

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1/2 or 50%.

Tags

CCSS.7.SP.C.7A

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If a die is rolled, what is the theoretical probability of rolling a 3?

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1/6.

Tags

CCSS.7.SP.C.7A

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Sarah hit the ball 3 times out of 8. What is her experimental probability of hitting the ball next as a fraction?

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3/8.

Tags

CCSS.7.SP.C.6

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Jon made 15 out of 35 free throws. What is his experimental probability as a fraction?

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3/7.

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Jill rolled a '5' fifteen times out of 20 rolls. What is her experimental probability as a simplified fraction?

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3/4.

Tags

CCSS.7.SP.C.6

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What is the difference between theoretical and experimental probability?

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Theoretical probability is based on expected outcomes, while experimental probability is based on actual results from trials.

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What is the formula to convert experimental probability to a percentage?

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(Experimental Probability) x 100 = Percentage.